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Bull. Korean Math. Soc. 2014; 51(4): 979-994
Printed July 31, 2014
https://doi.org/10.4134/BKMS.2014.51.4.979
Copyright © The Korean Mathematical Society.
Half lightlike submanifolds of an indefinite trans-Sasakian manifold
Dae Ho Jin
Dongguk University
We study half lightlike submanifold $M$ of an indefinite trans-Sasakian manifold such that its structure vector field is tangent to $M$. First we study the general theory for such half lightlike submanifolds. Next we prove some characterization theorems for half lightlike submanifolds of an indefinite generalized Sasakian space form.
Keywords: indefinite trans-Sasakian manifold, half lightlike submanifold, screen conformal, totally umbilical, screen totally umbilical
MSC numbers: Primary 53C25, 53C40, 53C50
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